A high-RTP video poker game can still produce brutal short-term swings. You are playing 9/6 Jacks or Better at 99.54% RTP — practically break-even — and yet you lose $200 in two hours. Why?
The answer is Variance. The RTP tells you the destination, but variance tells you how bumpy the ride will be. A game like Jacks or Better offers a smooth ride, while Double Double Bonus is a rollercoaster. Our Video Poker Variance Calculator uses paytable-specific variance figures to estimate your standard deviation, session EV, approximate ruin risk, and a practical session bankroll target.
Important: this is a session-risk estimator, not an exact infinite-play risk-of-ruin model. It is designed to show how volatile games like Double Double Bonus differ from smoother games like Jacks or Better, and how much bankroll you need to survive a given session length. All calculations assume Max Coins (5 credits) per hand and perfect strategy play.
Video Poker Variance
How to Use the Calculator
This tool helps you plan your gambling session to understand how much bankroll you need and how likely you are to survive the swings. Here is how to configure it:
- Select Game / Paytable:
- Low Variance: Choose Jacks or Better (9/6) or Bonus Poker (8/5) if you want your money to last. These games pay out frequently through Two Pair and Three of a Kind hands.
- High Variance: Choose Double Double Bonus (9/6) if you are chasing big payouts from premium 4-of-a-kind hands — but be prepared for faster bankroll drain between hits.
- Custom: Enter your own variance and RTP figures if you know them (variance is measured in betting units squared per hand).
- Set Denomination: Are you playing Quarters ($0.25) or Dollars ($1.00)? The calculator assumes Max Coins (5 credits), so a Quarter machine means $1.25 per hand.
- Input Hands to Play:
- Speed Reference: An average player plays 400–500 hands per hour. A fast player hits 700–800+.
- Analyze the Results:
- Volatility (SD per Hand): How much each individual hand can swing your balance.
- Total Standard Deviation: The cumulative swing range over your full session.
- Expected Return (EV): Your projected net win or loss based on RTP.
- 95% Range: The interval within which roughly 95% of sessions would end (normal approximation).
- Suggested Session Bankroll: A conservative cushion calculated as expected loss + 3 standard deviations. This covers ~99.7% of scenarios under normal assumptions — but it is a planning heuristic, not a guaranteed threshold.
- Approx. Session Ruin Risk: The estimated probability of finishing your session below $0 with your current bankroll. This is an endpoint approximation, not a full in-session ruin model.
Related tools: for roulette session planning, see the Roulette Bankroll Calculator. To understand how progressive systems like Martingale interact with variance, use the Martingale Simulator. For general probability math, try the Probability After N Attempts Calculator.
Comparing Video Poker Games: Variance by Paytable
| Game | RTP | Variance | SD/Hand ($0.25) | Session Ruin ($200, 1K hands) |
|---|---|---|---|---|
| Jacks or Better (9/6) | 99.54% | 19.5 | $5.52 | ~13% |
| Bonus Poker (8/5) | 99.17% | 20.9 | $5.71 | ~15% |
| Deuces Wild (Full Pay) | 100.76% | 25.8 | $6.35 | ~15% |
| Double Double Bonus (9/6) | 98.98% | 42.0 | $8.10 | ~23% |
| Joker Poker (Kings) | 98.44% | 34.2 | $7.31 | ~20% |
All figures: $0.25 denomination, Max Coins ($1.25/hand), 1,000 hands, $200 bankroll. “Session Ruin” = approximate probability of finishing the session at or below $0.
Real-World Examples: The Cost of Volatility
Why does game selection matter so much? Let’s compare two popular games played at the $0.25 denomination ($1.25 per hand, 1,000 hands, $200 bankroll).
Example 1: The Smooth Ride (Jacks or Better 9/6)
- Variance: 19.5 (Low).
- SD per Hand: $5.52. Total SD: $174.55.
- Expected Loss: −$5.75 (nearly break-even).
- 95% Range: −$348 to +$336.
- Suggested Bankroll: $529. Ruin Risk with $200: ~13%.
- Takeaway: A $200 buy-in is workable for a casual session, but not “safe” in the mathematical sense — you still have a roughly 1 in 8 chance of going broke. For a truly comfortable session, bring $500+.
Example 2: The Rollercoaster (Double Double Bonus 9/6)
- Variance: 42.0 (High — more than double JoB).
- SD per Hand: $8.10. Total SD: $256.17.
- Expected Loss: −$12.75.
- 95% Range: −$515 to +$489.
- Suggested Bankroll: $781. Ruin Risk with $200: ~23%.
- Takeaway: The variance is more than double JoB. You endure long stretches of losing between premium 4-of-a-kind hits. With $200, nearly 1 in 4 sessions end broke. You need $750+ to bring the ruin risk down to comfortable levels.
Example 3: Positive EV Does Not Mean Safe (Deuces Wild Full Pay)
- RTP: 100.76% — positive expectation with perfect play.
- Expected Win: +$9.50 over 1,000 hands.
- Ruin Risk with $200: ~15%.
- Takeaway: Even with a mathematical edge, you still have a ~15% chance of losing your entire $200 in a single session. Positive EV only guarantees profit over thousands of sessions — not this one.
Frequently Asked Questions (FAQ)
Which Video Poker game has the lowest variance?
Jacks or Better (9/6) generally has the lowest variance (approximately 19.5). This is because the payout is concentrated in frequent hands like Two Pair and Three of a Kind, keeping your bankroll steady. It is the best game for beginners or players with smaller bankrolls.
What is “Standard Deviation” in Video Poker?
Standard Deviation (SD) measures how far your results will likely deviate from the average. If you are expected to lose $6, but the SD is $175, your result could easily range from +$170 to −$180. High SD games require a larger bankroll to absorb these swings.
Does playing “Max Coins” increase variance?
In dollar terms, yes, because you are betting more money per hand. However, you must always play Max Coins (5 credits) in Video Poker. This is because the Royal Flush payout jumps from 250-for-1 to 800-for-1 only when betting max coins, which significantly boosts your RTP.
What do the variance numbers (19.5, 42.0) actually mean?
These are the variance per hand in betting units squared for each paytable, as published by Wizard of Odds. A higher number means wilder swings. JoB 9/6 (19.5) is relatively calm; DDB 9/6 (42.0) is more than twice as volatile. The calculator converts this into dollar standard deviation based on your denomination.
Can I have positive EV and still go broke?
Yes. Deuces Wild Full Pay has an RTP above 100%, meaning you have a mathematical edge with perfect play. But variance can still produce sessions where you lose your entire bankroll — especially if it is undersized. Even with +EV, the ruin risk with a small bankroll can be 10–15%.
Is this an exact risk-of-ruin calculator?
No. This is a session variance estimator. It calculates the approximate probability of ending a fixed session below $0 using a normal approximation. A full infinite-play risk-of-ruin model (as used in Wizard of Odds bankroll tables) is a different, more complex calculation. This tool is best used for session planning and game comparison.